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Finding the Third Proportional to 1,757.44 and 2,720.06

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Solution

The third proportional to 1,757.44 and 2,720.06 is: 4,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.44 : 2,720.06 = 2,720.06 : x
  2. Step 2: Convert to fraction form
    1,757.44/2,720.06 = 2,720.06/x
  3. Step 3: Cross multiply
    1,757.44x = 2,720.06 × 2,720.06
  4. Step 4: Simplify right side
    1,757.44x = 7,398,740.00
  5. Step 5: Solve for x
    x = 7,398,740.00/1,757.44
  6. Step 6: Final answer
    x = 4,209.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.